{"id":1272,"date":"2023-07-27T01:33:14","date_gmt":"2023-07-27T01:33:14","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%b1%d8%a7%d9%81%d8%b9%d8%a9-%d8%a7%d9%84%d9%85%d8%a7%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%b5\/"},"modified":"2023-07-27T01:33:14","modified_gmt":"2023-07-27T01:33:14","slug":"%d8%a7%d9%84%d8%b1%d8%a7%d9%81%d8%b9%d8%a9-%d8%a7%d9%84%d9%85%d8%a7%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%b5","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%84%d8%b1%d8%a7%d9%81%d8%b9%d8%a9-%d8%a7%d9%84%d9%85%d8%a7%d9%84%d9%8a%d8%a9-%d9%81%d9%8a-%d8%b5\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0641\u064a r"},"content":{"rendered":"

<\/p>\n

\n

\u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621\u060c \u062a\u0639\u062a\u0628\u0631 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629<\/a> \u0645\u062a\u0637\u0631\u0641\u0629<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u062a\u0647\u0627 \u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0623\u0643\u0628\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0628\u0642\u064a\u0629 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/span><\/p>\n

\u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u062a\u0639\u062a\u0628\u0631 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0630\u0627\u062a \u0641\u0639\u0627\u0644\u064a\u0629<\/strong> \u0639\u0627\u0644\u064a\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0648\u0627\u062d\u062f\u0629 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0648\u0642\u0639 \u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0623\u0643\u062b\u0631 \u062a\u0637\u0631\u0641\u064b\u0627 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0628\u0642\u064a\u0629 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/span><\/p>\n

\u0625\u062d\u062f\u0649 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0623\u0648\u0644\u0649 \u0641\u064a \u0623\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0647\u064a \u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0641\u0627\u062d\u0635\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u062a\u0623\u062b\u064a\u0631 \u0643\u0628\u064a\u0631\u060c \u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0647\u0627 \u062a\u0623\u062b\u064a\u0631 \u0643\u0628\u064a\u0631 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u0646\u0645\u0648\u0630\u062c \u0645\u0639\u064a\u0646.<\/span><\/p>\n

\u064a\u0639\u0631\u0636 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0645\u062b\u0627\u0644\u0627\u064b \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0648\u062a\u0635\u0648\u0631 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0646\u0645\u0648\u0630\u062c \u0641\u064a R.<\/span><\/p>\n

\u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631<\/strong><\/span><\/h3>\n

\u0623\u0648\u0644\u0627\u064b\u060c \u0633\u0646\u0642\u0648\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a \u0645\u062a\u0639\u062f\u062f<\/a> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062c\u0645\u0648\u0639\u0629 \u0628\u064a\u0627\u0646\u0627\u062a mtcars<\/strong> \u0627\u0644\u0645\u0636\u0645\u0646\u0629 \u0641\u064a R:<\/span><\/p>\n

 #load the dataset<\/span>\ndata(mtcars)\n\n#fit a regression model<\/span>\nmodel <- lm(mpg~disp+hp, data=mtcars)\n\n#view model summary\n<\/span>summary(model)\n\nCoefficients:\n             Estimate Std. Error t value Pr(>|t|)    \n(Intercept) 30.735904 1.331566 23.083 < 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.127 on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09\n<\/strong><\/pre>\n
 \u0627\u0644\u062e\u0637\u0648\u0629 2: \u062d\u0633\u0627\u0628 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629<\/strong><\/span><\/h3>\n
 \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 hatvalues()<\/strong> \u200e \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0627\u0644\u0646\u0645\u0648\u0630\u062c:<\/span><\/p>\n
 #calculate leverage for each observation in the model\n<\/span>hats <- as<\/span> . data<\/span> . frame<\/span> (hatvalues(model))\n\n#display leverage stats for each observation\n<\/span>hats\n\n                    hatvalues(model)\nMazda RX4 0.04235795\nMazda RX4 Wag 0.04235795\nDatsun 710 0.06287776\nHornet 4 Drive 0.07614472\nHornet Sportabout 0.08097817\nValiant 0.05945972\nDuster 360 0.09828955\nMerc 240D 0.08816960\nMerc 230 0.05102253\nMerc 280 0.03990060\nMerc 280C 0.03990060\nMerc 450SE 0.03890159\nMerc 450SL 0.03890159\nMerc 450SLC 0.03890159\nCadillac Fleetwood 0.19443875\nLincoln Continental 0.16042361\nChrysler Imperial 0.12447530\nFiat 128 0.08346304\nHonda Civic 0.09493784\nToyota Corolla 0.08732818\nToyota Corona 0.05697867\nDodge Challenger 0.06954069\nAMC Javelin 0.05767659\nCamaro Z28 0.10011654\nPontiac Firebird 0.12979822\nFiat X1-9 0.08334018\nPorsche 914-2 0.05785170\nLotus Europa 0.08193899\nFord Pantera L 0.13831817\nFerrari Dino 0.12608583\nMaserati Bora 0.49663919\nVolvo 142E 0.05848459\n<\/strong><\/pre>\n
 \u0639\u0627\u062f\u0629\u060c \u0646\u062d\u0646 \u0646\u0644\u0642\u064a \u0646\u0638\u0631\u0629 \u0641\u0627\u062d\u0635\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0630\u0627\u062a \u0642\u064a\u0645\u0629 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 2.<\/span><\/p>\n
 \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0628\u0633\u064a\u0637\u0629 \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0647\u064a \u0641\u0631\u0632 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627\u060c \u0628\u062a\u0631\u062a\u064a\u0628 \u062a\u0646\u0627\u0632\u0644\u064a:<\/span><\/p>\n
 #sort observations by leverage, descending<\/span>\nhats[ order<\/span> (-hats[' hatvalues(model)<\/span> ']), ]\n\n [1] 0.49663919 0.19443875 0.16042361 0.13831817 0.12979822 0.12608583\n [7] 0.12447530 0.10011654 0.09828955 0.09493784 0.08816960 0.08732818\n[13] 0.08346304 0.08334018 0.08193899 0.08097817 0.07614472 0.06954069\n[19] 0.06287776 0.05945972 0.05848459 0.05785170 0.05767659 0.05697867\n[25] 0.05102253 0.04235795 0.04235795 0.03990060 0.03990060 0.03890159\n[31] 0.03890159 0.03890159\n<\/strong><\/pre>\n
 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0623\u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0644\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0647\u064a 0.4966<\/strong> . \u0648\u0628\u0645\u0627 \u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0631\u0642\u0645 \u0644\u0627 \u064a\u0632\u064a\u062f \u0639\u0646 2\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0639\u0644\u0645 \u0623\u0646 \u0623\u064a\u0627\u064b \u0645\u0646 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0644\u062f\u064a\u0646\u0627 \u0644\u0627 \u062a\u062a\u0645\u062a\u0639 \u0628\u0641\u0639\u0627\u0644\u064a\u0629 \u0639\u0627\u0644\u064a\u0629.<\/span><\/p>\n
 \u0627\u0644\u062e\u0637\u0648\u0629 3: \u062a\u0635\u0648\u0631 \u0627\u0644\u0646\u0641\u0648\u0630 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629<\/strong><\/span><\/h3>\n
 \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0646\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u0633\u0631\u064a\u0639 \u0644\u062a\u0635\u0648\u0631 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629:<\/span> <\/p>\n
 #plot leverage values for each observation<\/span>\nplot(hatvalues(model), type = ' h<\/span> ')\n<\/strong><\/pre>\n
\"\u0627\u0644\u0631\u0627\u0641\u0639\u0629<\/p>\n
 \u064a\u0639\u0631\u0636 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0633\u064a\u0646\u064a \u0641\u0647\u0631\u0633 \u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u062a\u0639\u0631\u0636 \u0627\u0644\u0642\u064a\u0645\u0629 \u0635 \u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0631\u0627\u0641\u0639\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629.<\/span><\/p>\n
 \u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n
 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0628\u0633\u064a\u0637 \u0641\u064a R<\/a>
 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0645\u062a\u0639\u062f\u062f \u0641\u064a R<\/a>
 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0642\u0637\u0639\u0629 \u0623\u0631\u0636 \u0645\u062a\u0628\u0642\u064a\u0629 \u0641\u064a R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
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